Greatest Common Factor of 9008 and 9012

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 9008, 9012 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9008 and 9012 is 4.

GCF(9008,9012) = 4

GCF of 9008 and 9012

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9008 and 9012

GCF of 9008 and 9012 is 4

Prime Factorization of 9008


2 9008
2 4504
2 2252
2 1126
563 563
1

Prime factors of 9008 are 2,563. Prime factorization of 9008 in exponential form is:

9008 = 24×5631

Prime Factorization of 9012


2 9012
2 4506
3 2253
751 751
1

Prime factors of 9012 are 2,3,751. Prime factorization of 9012 in exponential form is:

9012 = 22×31×7511

∴ So by taking common prime factors GCF of 9008 and 9012 is 4

Greatest Common Factor of 9008 and 9012 by matching factors method

Factors of 9008

List of positive integer factors of 9008 that divides 9008 without a remainder.

1,2,4,8,16,563,1126,2252,4504,9008

Factors of 9012

List of positive integer factors of 9012 that divides 9012 without a remainder.

1,2,3,4,6,12,751,1502,2253,3004,4506,9012

Greatest Common Factor

We found the factors and prime factorization of 9008 and 9012. The biggest common factor number is the GCF number.
So the greatest common factor 9008 and 9012 is 4.

Also check out the Least Common Multiple of 9008 and 9012

Properties of GCF 9008 and 9012

(i) The GCF of 9008 and 9012 is associative

GCF of 9008 and 9012 = GCF of 9012 and 9008

Related Greatest Common Factor of 9008

Related Greatest Common Factor of 9012

Frequently Asked Questions on GCF of 9008 and 9012

1. What is the GCF of 9008 and 9012?

Answer: GCF of 9008 and 9012 is 4.

2. What are the Factors of 9008?

Answer: Factors of 9008 are 1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008. There are 10 integers that are factors of 9008. The greatest factor of 9008 is 9008.

3. What are the Factors of 9012?

Answer: Factors of 9012 are 1, 2, 3, 4, 6, 12, 751, 1502, 2253, 3004, 4506, 9012. There are 12 integers that are factors of 9012. The greatest factor of 9012 is 9012.

4. How to Find the GCF of 9008 and 9012?

Answer:

Greatest Common Factor of 9008 and 9012 = 4

Step 1: Find the prime factorization of 9008

9008 = 2 x 2 x 2 x 2 x 563

Step 2: Find the prime factorization of 9012

9012 = 2 x 2 x 3 x 751

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9008 and 9012 is 4